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Finding the Third Proportional to 52,667.23 and 115,187.70

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Solution

The third proportional to 52,667.23 and 115,187.70 is: 251,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,667.23 : 115,187.70 = 115,187.70 : x
  2. Step 2: Convert to fraction form
    52,667.23/115,187.70 = 115,187.70/x
  3. Step 3: Cross multiply
    52,667.23x = 115,187.70 × 115,187.70
  4. Step 4: Simplify right side
    52,667.23x = 13,268,205,151.41
  5. Step 5: Solve for x
    x = 13,268,205,151.41/52,667.23
  6. Step 6: Final answer
    x = 251,925.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.